Question: Consider a spherical shell of radius R, centered at the origin, which has a total charge Q smeare...

Consider a spherical shell of radius R, centered at the origin, which has a total charge Q smeared over its surface. What is the surface charge density, sigma, in terms of Q and R? Now consider a point P on the z axis which is z>R away from the origin. Integrate over the surface of the sphere to determine the electric field at point p, in terms of R, sigma, and z. As usual check your units and confirm the behaviour as z right arrow infinity. Confirm your result using Gauss's Law.

Show transcribed image textConsider a spherical shell of radius R, centered at the origin, which has a total charge Q smeared over its surface. What is the surface charge density, sigma, in terms of Q and R? Now consider a point P on the z axis which is z>R away from the origin. Integrate over the surface of the sphere to determine the electric field at point p, in terms of R, sigma, and z. As usual check your units and confirm the behaviour as z right arrow infinity. Confirm your result using Gauss's Law.